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Finding the Fourth Proportional to 299,045.72, 412,682.78 and 163,079.94

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Solution

The fourth proportional to 299,045.72, 412,682.78 and 163,079.94 is: 225,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,045.72 : 412,682.78 = 163,079.94 : x
  2. Step 2: Convert to fraction form
    299,045.72/412,682.78 = 163,079.94/x
  3. Step 3: Cross multiply
    299,045.72x = 412,682.78 × 163,079.94
  4. Step 4: Simplify right side
    299,045.72x = 67,300,283,001.43
  5. Step 5: Solve for x
    x = 67,300,283,001.43/299,045.72
  6. Step 6: Final answer
    x = 225,050.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.